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148248024715332 = 223223317673822689
BaseRepresentation
bin100001101101010010101110…
…110110100001000001000100
3201102220101001201212221102100
4201231102232312201001010
5123412343423311342312
61243144111413312100
743140365152431543
oct4155225666410104
9642811051787370
10148248024715332
11432666a8152063
1214763563635630
136494962090b39
142887357cb815a
151221410b3b5dc
hex86d4aeda1044

148248024715332 has 36 divisors (see below), whose sum is σ = 376346380360860. Its totient is φ = 49203922363392.

The previous prime is 148248024715331. The next prime is 148248024715363. The reversal of 148248024715332 is 233517420842841.

148248024715332 is a `hidden beast` number, since 1 + 4 + 8 + 2 + 4 + 80 + 24 + 7 + 1 + 533 + 2 = 666.

148248024715332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 75002943859776 + 73245080855556 = 8660424^2 + 8558334^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (148248024715331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8836902957 + ... + 8836919732.

It is an arithmetic number, because the mean of its divisors is an integer number (10454066121135).

Almost surely, 2148248024715332 is an apocalyptic number.

148248024715332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

148248024715332 is an abundant number, since it is smaller than the sum of its proper divisors (228098355645528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

148248024715332 is a wasteful number, since it uses less digits than its factorization.

148248024715332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17673822932 (or 17673822927 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 148248024715332 in words is "one hundred forty-eight trillion, two hundred forty-eight billion, twenty-four million, seven hundred fifteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 233 466 699 932 1398 2097 2796 4194 8388 17673822689 35347645378 53021468067 70695290756 106042936134 159064404201 212085872268 318128808402 636257616804 4118000686537 8236001373074 12354002059611 16472002746148 24708004119222 37062006178833 49416008238444 74124012357666 148248024715332